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The number 87273

87273 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 9697. Divisors (6): 1, 3, 9, 9697, 29091, 87273.

Number

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How to work it out

  1. 1

    87273 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    87273 is composite. Its prime factorisation is

    87273=32×969787273 = 3^{2} \times 9697
  3. 3

    The divisors add up to 126074; without 87273 itself that is 38801, so 87273 is deficient (38801 is less than 87273). Euler's totient φ(87273) = 58176 numbers up to 87273 share no factor with it.

  4. 4

    The digits of 87273 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87273 = 3^{2} \times 9697 \]

87273 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors126074
Euler totient φ(n)58176
Square7616576529
Cube664721483415417
Square root295.420040 (= 3√9697)
Digit sum / digital root27 / 9
Collatz steps to 171
Scientific notation8.7273 × 10410^{4}

87273 in other forms

FormValue
In wordseighty-seven thousand two hundred and seventy-three
Binary (base 2)10101010011101001
Octal (base 8)252351
Hexadecimal (base 16)154E9
Base 311102201100
As time87273 seconds = 24 h 14 min 33 s

Is 87273 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (87273 ÷ 3 = 29091)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (87273 ÷ 9 = 9697)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87273 a prime number?

No. 87273 = 323^{2} × 9697, so it is divisible by 3.

What are the factors of 87273?

1, 3, 9, 9697, 29091, 87273.

What is 87273 in binary?

10101010011101001 (hexadecimal 154E9, octal 252351).

What is the square root of 87273?

About 295.4200, exactly 3√9697.

Is 87273 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 87273?

It is a composite number with 6 divisors.

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    87273: is it prime? Factors, square root, binary, Roman numeral | WordGPT